Different types of reasoning, such as intuitive, inductive, and deductive, are used in the generalization of figural patterns, as an important part of patterns in school mathematics. It is difficult to demarcate the constructive patterns where the regularity observed in the first few sentences is generalizable to the other sentences and each…

Among many perspectives in discussions of design, this study re-asserts the relation between "intuition" and "reasoning." The aim is to comprehend the role of intuition and reasoning in the design process. In order to do this, retrospective self-reports of the first year, rule-based architectural design studio students were…

The purpose of this study is to investigate students' thinking of direct, inverse and nonproportional problems. Thirty two seventh grade students from three different government schools participated in this study. To collect the data, the participants were asked to solve 9 open-ended problems, including 3 direct, 3 inverse and 3 non-proportional…

The purpose of this qualitative descriptive study is to explore how novice elementary teachers in the southern United States describe the role of spontaneous and conscious decision-making to influence their instructional practice. Two research questions were developed using the cognitive experiential self-theory and decision-making theory which…

Even after many decades of productive research, problem solving instruction is still considered ineffective. In this study we address some limitations of extant problem solving models related to the phenomenon of insight during problem solving. Currently, there are two main views on the source of insight during problem solving. Proponents of the…

In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the…

This study examines the pedagogical decision-making of teacher candidates in virtual reality (VR) environments, focusing on instructional strategies, spatial interactions, and associated challenges. Using a descriptive phenomenological approach, class recordings and debriefing interviews with five U.S.-based teacher candidates were analyzed, and…

Much recent research and theorizing in the field of reasoning has been concerned with intuitive sensitivity to logical validity, such as the logic-brightness effect, in which logically valid arguments are judged to have a "brighter" typeface than invalid arguments. We propose and test a novel signal competition account of this…

An ongoing debate in the literature on human reasoning concerns whether or not the logical status (valid vs. invalid) of an argument can be intuitively detected. The finding that conclusions of logically valid inferences are liked more compared to conclusions of logically invalid ones--called the logic-liking effect--is one of the most prominent…

What do cows drink? The correct answer is water, but many are tempted to say milk. The disposition to override an intuitive response (milk) with a more analytic response (water) is known as "cognitive reflection." Tests of cognitive reflection predict a wide range of skills and abilities in adults. In this article, we discuss the…

This study investigates middle school students' reasoning about parallelism and perpendicularity of two line segments. Data were collected from 83 middle school students through an identification task consisting of various examples and non-examples of the parallelism and perpendicularity of two line segments. One-to-one interviews were also…

Aristotle argued that emotions should be controlled according to the principle of moderation to realize virtue (human excellence). This study examines moral education in Korea, which is grounded in the ethics of Aristotle and values reason in moral judgment. The advantages and disadvantages of specific approaches are analyzed by categorizing moral…

Four experiments examined the claims that people can intuitively assess the logical validity of arguments, and that qualitatively different reasoning processes drive intuitive and explicit validity assessments. In each study participants evaluated arguments varying in validity and believability using either deductive criteria (logic task) or via…

Physics education research over the past few decades has made significant advances toward improving instructional practices and developing effective instructional materials for physics classrooms. In some contexts, however, after multiple instructional refinements difficulties can remain persistent. Recent findings in PER suggest that many of…

Teaching grammar topics is a difficult and complex process. This process needs to be structured with functional activities that are appropriate for the objectives of the instruction, be it face-to-face or distance education. This study aims to investigate and evaluate the quality of grammar instruction in the Turkish lessons on the Education…